34203641472 has 512 divisors, whose sum is σ = 135552614400. Its totient is φ = 8199843840.

The previous prime is 34203641471. The next prime is 34203641503. The reversal of 34203641472 is 27414630243.

34203641472 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 3 + 641 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34203641471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3454513 + ... + 3464399.

It is an arithmetic number, because the mean of its divisors is an integer number (264751200).

Almost surely, 2^34203641472 is an apocalyptic number.

34203641472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34203641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67776307200).

34203641472 is an abundant number, since it is smaller than the sum of its proper divisors (101348972928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34203641472 is a wasteful number, since it uses less digits than its factorization.

34203641472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 34203641472 in words is "thirty-four billion, two hundred three million, six hundred forty-one thousand, four hundred seventy-two".